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Resolución de radicales

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Resolución de radicales

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Juego de operaciones con radicales, pasos claros.

Created by

joseline Aldana
joseline Aldana
El Salvador

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Resolución de radicales
 

Resolución de radicalesOnline version

Juego de operaciones con radicales, pasos claros.

by joseline Aldana
1

Introducción a operaciones con radicales

En este módulo aprenderás a trabajar con radicales, simplificar expresiones y realizar operaciones básicas de forma clara y ordenada.

2

Qué es una raíz y un radical

Un radical representa la raíz de un número. Por ejemplo, √a es la raíz cuadrada de a y se manipula con reglas propias.

3

Propiedad clave: √a · √b

Una propiedad esencial: √a · √b = √(ab), siempre que a y b sean positivos, para combinar radicales de forma rápida.

4

Suma y resta de radicals

Solo se suman o restan radicales con el mismo radicando. Por ejemplo, √8 + 2√2 = 4√2, tras simplificar.

5

Multiplicación de radicales

Multiplica los coeficientes y luego los radicales: (c√a)(d√b) = (cd)√(ab). Simplifica si es posible.

6

División de radicales

Dividir radicales: √a / √b = √(a/b). Simplifica el radicando y elimina fracciones cuando corresponda.

7

Simplificación de radicales

Descompón en primos: √72 = √(36·2) = 6√2. Busca factores perfectos para sacar raíces enteras.

8

Racionalización de denominadores

Elimina radicales del denominador multiplicando por un factor que haga radicales nulos en el denominador: √a/(√b) × (√b/√b).

9

Ejemplos prácticos

Resuelve expresiones mixtas: √50 + √18 = 5√2 + 3√2 = 8√2. Asegúrate de simplificar cada radical.

10

Consejos y errores comunes

Consejos: simplifica primero, usa propiedades, evita operaciones sin radicando común. Errores: sumar radicales con radicandos diferentes.
 
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